The wavelength of the electron moving at the speed of is or .
Further Explanation:
Given:
The speed at which the electron is travelling is .
Concept:
The wavelength of an electron moving at a particular speed is given by the De-Broglie’s equation that establishes the relation between the wavelength and the momentum of the electron.
The expression for the de-Broglie’s equation is written as.
…… (I)
Here, is the wavelength, is the Planck’s constant, is the mass of the electron and is the velocity of the electron.
The value of the Planck’s constant is and the mass of the electron is .
Substitute the values in above expression.
Thus, the wavelength of the electron moving at the speed of is or .
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Answer Details:
Grade: High School
Chapter: De-Broglie Hypothesis
Subject: Physics
Keywords: De-Broglie, momentum, mass of electron, wavelength, velocity of electron, 3.21x10^5 m/s, travelling at a speed.